高等數(shù)學(xué)常用公式匯總————

1、高數(shù)常用公式高數(shù)常用公式平方立方：平方立方：22222222332233223223332233222(1)()()(2)2()(3)2()(4)()()(5)()()(6)33()(7)33()(8)222(abababaabbabaabbabababaabbababaabbaababbabaababbababcabbcca??????????????????????????????????????21221)(9)()()(2)nn

2、nnnnabcababaababbn???????????????倒數(shù)關(guān)系：倒數(shù)關(guān)系：sinxcscx=1tanxcotx=1cosxsecx=1商的關(guān)系：商的關(guān)系：tanx=sinxcosxcotx=cosxsinx平方關(guān)系：平方關(guān)系：sin^2(x)cos^2(x)=1tan^2(x)1=sec^2(x)cot^2(x)1=csc^2(x)倍角公式：倍角公式：sin(2α)=2sinαcosαcos(2α)=cos^2(α)sin^

3、2(α)=2cos^2(α)1=12sin^2(α)tan(2α)=2tanα[1tan^2(α)]降冪公式：降冪公式：sin^2(α2)=(1cosα)2cos^2(α2)=(1cosα)2tan^2(α2)=(1cosα)(1cosα)tan(α2)=sinα(1cosα)=(1cosα)sinα兩角和差：兩角和差：sin(αβ)=sinαcosβcosαsinβcos(αβ)=cosαcosβsinαsinβcos(αβ)=cos

4、αcosβsinαsinβtan(αβ)=(tanαtanβ)(1tanαtanβ)tan(αβ)=(tanαtanβ)(1tanαtanβ)積化和差：積化和差：sinαcosβ=(12)[sin(αβ)sin(αβ)]cosαsinβ=(12)[sin(αβ)sin(αβ)]cosαcosβ=(12)[cos(αβ)cos(αβ)]sinαsinβ=(12)[cos(αβ)cos(αβ)]基本積分公式：基本積分公式：(1)0dxC??

5、(2)??為常數(shù)kCkxkdx???(3)??111???????????Cxdxx(4)Cxdxx???||ln1(5)Caadxaxx???ln(6)Cedxexx???(7)Cxxdx???sincos(8)Cxxdx????cossin(9)?????Cxxdxxdxtanseccos22(10)??????Cxxdxxdxcotcscsin22(11)Cxxdxx???sectansec(12)Cxxdxx????csccot